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Finding the Fourth Proportional to 414,151.92, 620,784.96 and 214,271.04

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Solution

The fourth proportional to 414,151.92, 620,784.96 and 214,271.04 is: 321,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,151.92 : 620,784.96 = 214,271.04 : x
  2. Step 2: Convert to fraction form
    414,151.92/620,784.96 = 214,271.04/x
  3. Step 3: Cross multiply
    414,151.92x = 620,784.96 × 214,271.04
  4. Step 4: Simplify right side
    414,151.92x = 133,016,238,995.56
  5. Step 5: Solve for x
    x = 133,016,238,995.56/414,151.92
  6. Step 6: Final answer
    x = 321,177.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.